Atkin-Lehner |
2- 3- 5+ |
Signs for the Atkin-Lehner involutions |
Class |
14400ea |
Isogeny class |
Conductor |
14400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-206624260800 = -1 · 26 · 317 · 52 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 4 -7 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-390,-22070] |
[a1,a2,a3,a4,a6] |
Generators |
[5305:24309:125] |
Generators of the group modulo torsion |
j |
-5624320/177147 |
j-invariant |
L |
5.4511150234811 |
L(r)(E,1)/r! |
Ω |
0.43575043668144 |
Real period |
R |
6.2548589336999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14400ec1 7200l1 4800cf1 14400fd1 |
Quadratic twists by: -4 8 -3 5 |